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Finding the Third Proportional to 66,183.19 and 99,884.81

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Solution

The third proportional to 66,183.19 and 99,884.81 is: 150,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,183.19 : 99,884.81 = 99,884.81 : x
  2. Step 2: Convert to fraction form
    66,183.19/99,884.81 = 99,884.81/x
  3. Step 3: Cross multiply
    66,183.19x = 99,884.81 × 99,884.81
  4. Step 4: Simplify right side
    66,183.19x = 9,976,975,768.16
  5. Step 5: Solve for x
    x = 9,976,975,768.16/66,183.19
  6. Step 6: Final answer
    x = 150,747.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.